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Finding the Fourth Proportional to 113.78, 170.70 and 36.74

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Solution

The fourth proportional to 113.78, 170.70 and 36.74 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 170.70 = 36.74 : x
  2. Step 2: Convert to fraction form
    113.78/170.70 = 36.74/x
  3. Step 3: Cross multiply
    113.78x = 170.70 × 36.74
  4. Step 4: Simplify right side
    113.78x = 6,271.81
  5. Step 5: Solve for x
    x = 6,271.81/113.78
  6. Step 6: Final answer
    x = 55.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.